Answer:
Subtract c from each side, using the subtraction property of equality
Step-by-step explanation:
0 = ax^2 + bx + c
Subtract c from each side, using the subtraction property of equality
-c = ax^2 + bx + c-c
-c = ax^2 + bx
You haven't shared all of the possible answers. The graph you've shared has a y-intercept of 4, which differs from the y-intercept of <span>y=−1/2x+8.
Go on to the other 3 possible answers. Which answer shows a y-intercept of 8 and a slope of -1/2?</span>
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:
(1, 3)
Step-by-step explanation:
2x + 3y = 11 ------------(i)
-4x + 2y = 2 ------------(ii)
Multiply equation (i) by 2.
(i)*2 4x + 6y = 22
(ii) <u>-4x + 2y = 2</u> {Now add and x will be eliminated}
8y = 24
y= 24/8
y = 3
Plugin the value of y in equation (i)
2x + 3*3 = 11
2x + 9 = 11
2x = 11-9
2x = 2
x = 2/2
x = 1
As we can notice the shape is a Pentagon. A Pentagon's angles should add up to 540. So we can use simple addition and subtraction to solve.
121 + 108 + 102 + 100 = 431
540 - 431 = 109
109 should be your answer
